Pith Number

pith:RP4N2EOL

pith:2012:RP4N2EOLKTP6RKPUNHCYCAC73N

not attested not anchored not stored refs pending

Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels

Ion Nechita, Motohisa Fukuda

arxiv:1212.1630 v1 · 2012-12-07 · math-ph · math.MP · math.PR · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RP4N2EOLKTP6RKPUNHCYCAC73N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:27:29.653290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf8dd11cb54dfe8a9f469c581005fdb5299ab19b9091b244393949f48a1acca

Aliases

arxiv: 1212.1630 · arxiv_version: 1212.1630v1 · doi: 10.48550/arxiv.1212.1630 · pith_short_12: RP4N2EOLKTP6 · pith_short_16: RP4N2EOLKTP6RKPU · pith_short_8: RP4N2EOL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RP4N2EOLKTP6RKPUNHCYCAC73N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8bf8dd11cb54dfe8a9f469c581005fdb5299ab19b9091b244393949f48a1acca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffa2a8be475ef0d11a6fe1661bf992268642ef35045ac08bccb95c1e8202b6f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-07T15:31:03Z",
    "title_canon_sha256": "d1f65e8e59a934ccee953fa69c7ef5972444a083a948bbcbb49bb049b7f4297d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1630",
    "kind": "arxiv",
    "version": 1
  }
}